Time (minutes) The equation for the line of best fit is $$ y=\frac{1}{5} x+3 $$. According to the equation, which of these statements is true? A typical student can memorize approximately 5 digits of pi in 1 minute. A typical student already knows approximately 3 digits of pi.

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To interpret the equation $$ y = \frac{1}{5}x + 3 $$ in the context of memorizing digits of pi:

- **$$ y $$** represents the number of digits memorized.
- **$$ x $$** represents the time in minutes.

Let's break down the equation:

1. **Slope ($$ \frac{1}{5} $$)**:
   - This indicates the rate at which digits are memorized per minute.
   - Specifically, a student memorizes **$$ \frac{1}{5} $$ digits per minute**. This means it takes **5 minutes** to memorize **1 digit**.

2. **Y-intercept ($$ 3 $$)**:
   - This represents the number of digits the student knows **before** any additional time is spent memorizing.
   - Therefore, the student **already knows approximately 3 digits of pi** without any additional effort.

**Evaluating the Statements:**

1. **"A typical student can memorize approximately 5 digits of pi in 1 minute."**
   - **Incorrect**. According to the slope, a student memorizes **$$ \frac{1}{5} $$** digit per minute, not 5 digits.

2. **"A typical student already knows approximately 3 digits of pi."**
   - **Correct**. This directly corresponds to the y-intercept of the equation.

**Conclusion:**

The true statement based on the equation $$ y = \frac{1}{5}x + 3 $$ is:

**A typical student already knows approximately 3 digits of pi.**
A typical student already knows approximately 3 digits of pi.

Time (minutes) The equation for the line of best fit is \( y=\frac{1}{5} x+3 \). According to the equation, which of these statements is true? A typical student can memorize approximately 5 digits of pi in 1 minute. A typical student already knows approximately 3 digits of pi.

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